Question

a43 - simplify like terms and th
score: 10/13 answered: 10/13
question 11
perfrom the indicated operations and simplify:
$6(3z + 9) - 4(4z - 2)$
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Explanation:

Step1: Distribute the coefficients

First, we distribute the 6 and -4 into the parentheses. For \(6(3z + 9)\), we multiply 6 by each term inside the parentheses: \(6\times3z = 18z\) and \(6\times9 = 54\). For \(-4(4z - 2)\), we multiply -4 by each term inside the parentheses: \(-4\times4z=-16z\) and \(-4\times(-2) = 8\). So the expression becomes \(18z + 54 - 16z + 8\).

Step2: Combine like terms

Next, we combine the like terms (the terms with \(z\) and the constant terms). For the \(z\)-terms: \(18z - 16z = 2z\). For the constant terms: \(54 + 8 = 62\). So putting it together, we get \(2z + 62\).

Answer:

\(2z + 62\)